kids encyclopedia robot

Siméon Denis Poisson facts for kids

Kids Encyclopedia Facts
Quick facts for kids
Siméon Poisson
SiméonDenisPoisson.jpg
Born (1781-06-21)21 June 1781
Pithiviers, Kingdom of France
(present-day Loiret)
Died 25 April 1840(1840-04-25) (aged 58)
Alma mater École Polytechnique
Known for Poisson process
Poisson equation
Poisson kernel
Poisson distribution
Poisson bracket
Poisson algebra
Poisson regression
Poisson summation formula
Poisson's spot
Poisson's ratio
Poisson zeros
Conway–Maxwell–Poisson distribution
Euler–Poisson–Darboux equation
Scientific career
Fields Mathematics and physics
Institutions École Polytechnique
Bureau des Longitudes
Faculté des sciences de Paris [fr]
École de Saint-Cyr
Academic advisors Joseph-Louis Lagrange
Pierre-Simon Laplace
Doctoral students Michel Chasles
Joseph Liouville
Other notable students Nicolas Léonard Sadi Carnot
Peter Gustav Lejeune Dirichlet

Siméon Denis Poisson (born June 21, 1781 – died April 25, 1840) was an important French mathematician and physicist. He worked on many different areas of science. These included statistics, electricity, magnetism, and how things move. He is also famous for predicting something called the Poisson spot. He did this while trying to prove another scientist's idea wrong, but it turned out he was right!

Biography

Siméon Poisson was born in a town called Pithiviers in France. His father was an officer in the French army.

In 1798, when he was 17, he joined the École Polytechnique in Paris. This was a very famous school. He was so good that his teachers let him study whatever he wanted. After less than two years, he published two important papers. These papers were so impressive that he was allowed to graduate in 1800 without taking the final exam. This was a huge honor for someone so young.

His success quickly opened doors for him in the world of science. Two famous mathematicians, Joseph Louis Lagrange and Pierre-Simon Laplace, became his mentors and friends. Poisson spent the rest of his life working on his many scientific papers and teaching.

Right after he finished his studies, he became a répétiteur (a kind of teaching assistant) at the École Polytechnique. His classmates often came to him for help after difficult lectures. In 1806, he became a full professor. He also held many other important positions. He became an astronomer and a professor of mechanics. He was also an examiner at military schools.

In 1817, he married Nancy de Bardi. They had four children together. Poisson was not very interested in politics. He focused mostly on his mathematics. He was given the title of "baron" in 1825, but he didn't use it. He was also elected to important scientific groups in England and America.

E. Marcellot Siméon-Denis Poisson 1804
Poisson in 1804 by E. Marcellot

Poisson was known as a very successful teacher. He was also incredibly productive as a scientist. Even with many official duties, he published over 300 works. These included large books and many papers. They covered pure mathematics, applied mathematics, and physics. Another scientist, François Arago, once said that Poisson believed: "Life is good for only two things: doing mathematics and teaching it."

Poisson's most important work was applying mathematics to physics. His papers on electricity and magnetism were especially groundbreaking. They helped create a whole new area of mathematical physics. He also made big contributions to celestial mechanics, which is the study of how planets and stars move. He studied the stability of planetary orbits. This means he looked at how planets stay in their paths around the sun.

In 1837, Poisson was given a French peerage. This was a special honor to recognize his amazing scientific work. His name is also one of the 72 names written on the Eiffel Tower in Paris.

Contributions

Potential Theory

Poisson's Equation

Front cover of Griffiths' Electrodynamics
Poisson's equations for electricity (top) and magnetism (bottom) in SI units on the front cover of an undergraduate textbook.

Poisson is famous for an equation named after him: Poisson's equation. This equation helps describe how things like gravity or electric forces work. It shows how a "potential" (a way to describe the energy or force in a space) changes based on where matter or electric charge is located.

The equation looks like this:

 \nabla^2 \phi = - 4 \pi \rho \;

Here, \phi stands for the potential. \rho stands for the density of matter or electric charge. If there's no matter or charge, the equation becomes Laplace's equation.

Poisson's equation is used in many areas of physics. It helps scientists understand gravitation, electricity, and magnetism.

Electricity and Magnetism

By the end of the 1700s, people knew a lot about static electricity. Benjamin Franklin had talked about electric charge. Charles-Augustin de Coulomb had found his law about how electric forces work. In 1812, Poisson used the idea of a "potential function" to describe electricity. This function helps calculate the electric force from charged objects. His work inspired other scientists, like George Green.

In 1820, Hans Christian Ørsted showed that electricity could affect magnets. This led to a lot of new research. Poisson also studied magnetism. However, he thought electricity and magnetism were separate things. Later, Michael Faraday showed that electricity was more connected to matter itself.

Optics

A photograph of the Arago spot
Photo of the Arago spot in a shadow of a 5.8 mm circular obstacle.

Poisson was part of a group of scientists who believed light was made of tiny particles. They didn't believe in the wave theory of light. In 1818, a competition was held about how light bends around objects (called diffraction). A civil engineer named Augustin-Jean Fresnel submitted a paper explaining diffraction using the wave theory.

Poisson studied Fresnel's theory very carefully. He wanted to find a mistake in it. He thought he found one! Fresnel's theory predicted that if you shine light on a small circular object, there would be a bright spot in the very center of its shadow. Poisson thought this was impossible. He argued that the particle theory of light would predict complete darkness there.

However, the head of the committee, François Arago, decided to do the experiment. He used a small metal disk. To everyone's surprise, he saw the bright spot exactly where Fresnel's theory predicted it! This experiment proved that the wave model of light was correct. Fresnel won the competition. This bright spot is now known as the Arago spot or the Poisson spot.

Pure Mathematics and Statistics

In pure mathematics, Poisson worked on definite integrals. These are ways to calculate the total amount of something over a range. He also studied Fourier series, which are ways to break down complex waves or signals into simpler ones.

The Poisson distribution in probability theory is named after him. This is a very important tool in statistics. It helps predict how many times an event might happen in a fixed period of time or space. For example, it can predict how many phone calls a call center might get in an hour.

In 1820, Poisson was one of the first to study integrations using paths in the complex plane. This was a new and important area of mathematics. He also contributed to the divergence theorem, which is used in physics and engineering.

Mechanics

Analytical Mechanics

Poisson wrote an important book called Traité de mécanique (Treatise on Mechanics). This book was a standard text for many years. It helped shape how scientists understood how things move. He also worked on Poisson brackets, which are mathematical tools used to describe how physical systems change over time. These ideas were very important for later developments in physics, like quantum mechanics.

Continuum Mechanics and Fluid Flow

Poisson also made contributions to understanding how fluids (like water or air) move. In 1829, he independently found equations for how viscous fluids flow. These are now part of the Navier–Stokes equations. He also contributed to the theory of elasticity, which is about how materials deform under force.

Thermodynamics

Poisson also studied thermodynamics, which is the science of heat and energy. He worked on how heat spreads through materials. He also helped improve the formula for the speed of sound in air. He showed that the speed of sound depends on the specific heats of gases. He also found an important equation for gases changing under certain conditions.

Interaction with Évariste Galois

Poisson played a role in the life of another young mathematician, Évariste Galois. Galois was a brilliant but troubled young man. In 1831, Poisson reviewed Galois's work on the theory of equations. Poisson found Galois's work "incomprehensible" at first. However, he encouraged Galois to publish all of his work. Galois was in prison at the time. He later decided to publish his papers privately.

See also

Kids robot.svg In Spanish: Siméon Denis Poisson para niños

  • List of things named after Siméon Denis Poisson
  • Hamilton−Jacobi equation
kids search engine
Siméon Denis Poisson Facts for Kids. Kiddle Encyclopedia.